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Finding the Fourth Proportional to 65,293.50, 97,948.97 and 25,841.39

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Solution

The fourth proportional to 65,293.50, 97,948.97 and 25,841.39 is: 38,765.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,293.50 : 97,948.97 = 25,841.39 : x
  2. Step 2: Convert to fraction form
    65,293.50/97,948.97 = 25,841.39/x
  3. Step 3: Cross multiply
    65,293.50x = 97,948.97 × 25,841.39
  4. Step 4: Simplify right side
    65,293.50x = 2,531,137,533.87
  5. Step 5: Solve for x
    x = 2,531,137,533.87/65,293.50
  6. Step 6: Final answer
    x = 38,765.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.